In particular, when \(G\)  is a well sectioned group in \({K}/B\) , Proposition REF  specializes (with \(G\)  replaced by the corresponding constant simplicial group object)
to give a construction of a numerable fiberwise principal \(G\) -bundle \(EG\rightarrow BG\) .
Unlike the Milnor model of \(EG\rightarrow BG\)  constructed in [1]} the bundle \(EG\rightarrow BG\)  has the property that its total space \(EG\)  is a (fiberwise
contractible) group object in \({K}/B\) . This is useful for some purposes. In this section we will
describe the classifying theory for parametrized bundles based on this model from Theorem REF . Our main result in this section is the following.
